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arXiv · 1801.06686

Cohomology of $p$-adic Stein spaces

Pierre Colmez·Gabriel Dospinescu·Wieslawa Niziol
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Abstract

We compute the $p$-adic étale and the pro-étale cohomologies of the Drinfeld half-space of any dimension. The main input is a new comparison theorem for the $p$-adic pro-étale cohomology of $p$-adic Stein spaces.

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Pierre Colmez, Gabriel Dospinescu, Wieslawa Niziol. 2019-01-18. Cohomology of $p$-adic Stein spaces. https://arxiv.org/abs/1801.06686

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